Answer:
Step-by-step explanation:
In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:
a = -32 ft/s/s
v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)
Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)
t = ?? sec.
The equation we will use is the one for displacement:
Δx = [tex]v_0t+\frac{1}{2}at^2[/tex] and filling in:
[tex]-15=(0)t+\frac{1}{2}(-32)t^2[/tex] which simplifies down to
[tex]-15=-16t^2[/tex] so
[tex]t=\sqrt{\frac{-15}{-16} }[/tex] so
t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)
Now we use that time in the x-dimension. Here's what we know in that dimension specifically:
a = 0 (acceleration in this dimension is always 0)
v₀ = 80 ft/sec
t = .968 sec
Δx = ?? feet
We use the equation for displacement again, and filling in what we know in this dimension:
Δx = [tex](80)(.968) +(0)(.968)^2[/tex] and of course the portion of that after the plus sign goes to 0, leaving us with simply:
Δx = (80)(.968)
Δx = 77.46 feet
how much does 1/64 stand for
Answer:
1/64 is 0.015625 in decimals
Solve the attachment...
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
SOMEONE PLEASE HELP ME WITH THIS PROBLEM!!!!
9514 1404 393
Answer:
20.0 square units
Step-by-step explanation:
There are many ways the area can be computed here. Perhaps the intended one is to find the length of the third side, then use the usual triangle area formula.
b = √(c² -a²) = √(9² -7²) = √32 ≈ 5.7
Then the area is ...
A = 1/2bh = 1/2(5.7)(7) ≈ 20.0
The area is approximately 20.0 square units.
_____
Additional comment
It is highly unusual to make use of rounded intermediate results. That is a guarantee that the final answer will have more error than necessary. Ordinarily, you would never do that.
An alternate solution might be ...
angle = arccos(7/9) ≈ 38.9°
area = 1/2(7)(9)sin(38.9°) ≈ 19.8 . . . . square units (assuming the sine value is not rounded to 0.6)
What expression represents the product of b and 34
Answer:
b + 24
Step-by-step explanation:
b and 24 would be b + 24
Darcy's harvests 8 3/4 acres of corn every 5/6 hours. How much corn can she collect in a hour. ? =Amount of acres of corn done in a hour.
Answer:
Step-by-step explanation:
Acres of corn harvested : time taken = 8 3/4 : 5/6
How much corn can she collect in a hour. ?
Let
x = Acres of corn harvested
Acres of corn harvested : time taken = x : 1
8 3/4 : 5/6 = x : 1
35/4 : 5/6 = x : 1
35/4 ÷ 5/6 = x/1
35/4 × 6/5 = x/1
35*6/4*5 = x/1
210/20 = x/1
210 * 1 = 20 * x
210 = 20x
x = 210/20
= 10 1/2 acres
x = Acres of corn harvested = 10 1/2 acres
Help with 12 please
12.
[tex]we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{26 + 22 + 32 + 28 + 35 + x}{6} = 30 \\ = > \frac{143 + x}{6} = 30 \\ = > 143 + x = 30 \times 6 \\ = > 143 + x = 180 \\ = > x = 180 - 143 \\ = > x = 37 \\ [/tex]
This is the answer.
Hope it helps!!
In the figure above the ratio of the area of WXZ to the area of WYZ is 7:2. If XY = 21, what is the length of segment WY?
[tex]{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}[/tex]
Because ∆XZW and WYZ is the same height and
Because ∆XZW and WYZ is the same height and the are of ∆WXZ to the the WYZ
[tex]so \:( \frac{1}{2}xw \times h)( \frac{1}{2} w)=7:2[/tex]
Because xy=21
[tex]so \: WY=2 \frac{1}{2}(7 + 2x2) \\ = 21 \frac{1}{2}p \times 2 \\ =\small\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: WY=\frac{14}{3}\:\:\:\: }}}}[/tex]
The length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.
What is the area of triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
What is the formula for the area of triangle?Area of triangle = (1/2)base × height
According to the given question.
The ratio of the area of triangle WXZ to the area of triangle WYZ is 7:2.
Since, the height WZ for both the triangles WXZ and WYZ is same.
Let, WZ = h
Therefore, the ratio of the area of the triangles is given by
[tex]\frac{\frac{1}{2}WX(h) }{\frac{1}{2}(WY)(h) } =\frac{7}{2}[/tex]
⇒ [tex]\frac{WX}{WY} =\frac{7}{2}[/tex]
⇒ [tex]WX = \frac{7}{2} WY..(i)[/tex]
Since, in the given figure
[tex]XY = WY + WX[/tex]
⇒ [tex]21 = WY + \frac{7}{2} WY[/tex] (from i)
⇒ [tex]21 = \frac{9}{2}WY[/tex]
⇒ [tex]WY = \frac{14}{3}[/tex]
Hence, the length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.
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Which of the following is NOT written in scientific notation?
a. 3.5X10^-2
b. 21.2X10^3
c. 1.4X10^5
d. 9.9432X10^-4
How many solutions does the following system have?
4x – 2y = 6
2x - y = 3
a. One
b. Infinitely many
c. Two
d. None
Helppp :( please and thank u
Answer:
b.
b.
Step-by-step explanation:
scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.
the only number not following that rule is b (2 positions in front of the decimal point).
4x - 2y = 6
2x - y = 3
are the same line, as we can multiply the second equation by 2 and get exactly equation 1.
so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.
The number of terms in polynomial 2x²+3y+5x²+2y are:
A.2. C.4
B.3. D.5
Can somebody explain with the answer...
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
Given polynomial ⟹ 2x²+3y+5x²+2y
Terms are the values that come after each mathematical sign, like after ➺ +, -, ×, ÷
So,
Terms ⟹ 2x² , 3y , 5x² , 2y
No. of terms ⟹ 4 (option C)
Which product is negative?
(-3/8)(-5/7)(1/4)
(3/8)(-5/7)(-1/4)
(3/8)(5/7)(1/4)
(-3/8)(-5/7)(-1/4)
Answer:
[tex]( - \frac{ 3}{8} )( - \frac{5}{7} )( - \frac{1}{4} )[/tex]Step-by-step explanation:
[tex]( - \frac{ 3}{8} )( - \frac{5}{7} )( - \frac{1}{4} )[/tex][tex] \frac{3}{8} \times \frac{5}{7} \times (- \frac{1}{4} )[/tex][tex] \frac{3 \times 5}{8 \times 7} ( - \frac{1}{4} )[/tex][tex] - \frac{15}{56 \times 4} [/tex][tex] - \frac{15}{224} [/tex]Hope it is helpful.....What number, divided by 3/7 , will result in a value of 2 1/3?
The
method would be the best for solving this
system of equations:
6x + 4y = 8
- 4y = 12
Enter the answer
Answer: [tex]\huge\boxed{x=3\frac{1}{3} \quad ;\quad y=-3}[/tex]
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol+\ \left \{ {{6x+4y=8} \atop {-4y=12}} \right. \Longrightarrow\\\\\\ 6x+ 4y\!\!\!\!\!\diagup-4y\!\!\!\!\!\diagup=12+8 \\\\6x=20 \\\\x=\frac{20}{6} =\frac{10}{3} =3\frac{1}{3} \quad ; \quad y=-3[/tex]
Research suggests improvements in human capital explains what percentage of the growth in U.S. Productivity from 1950 to the early 2000s?
Answer: 20%
Step-by-step explanation:
Human capital refers to the expertise that people gain as a result of working. This includes skills they gain from training and actually working. For instance, the skills a Brainly website designer gets from working on Brainly.
Research suggests that this human capital has led to about a 20% growth in U.S. productivity from the year 1950 to the year 2007 which means that it is a very significant factor in the growth of the country.
John finds that the sum of two numbers is 24 and their difference is one sixth of the
sum. Find the smallest number between the two numbers.
Given:
The sum of two numbers is 24 and their difference is one sixth of the sum.
To find:
The smaller number between the two numbers.
Solution:
Let x and y be the two numbers where x>y.
The sum of two numbers is 24.
[tex]x+y=24[/tex] ...(i)
Their difference is one sixth of the sum.
[tex]x-y=\dfrac{1}{6}\times 24[/tex]
[tex]x-y=4[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]2x=28[/tex]
[tex]x=\dfrac{28}{2}[/tex]
[tex]x=14[/tex]
Putting [tex]x=14[/tex] in (i), we get
[tex]14+y=24[/tex]
[tex]y=24-14[/tex]
[tex]y=10[/tex]
The two numbers are 14 and 10.
Therefore, the smaller number between the two numbers is 10.
PLEASE SHOW ALL WORK
The function s(t) = t2+2t+5shows the height s(t), in feet, of a water balloon after t seconds. A second water balloon moves in the air along a path represented by p(t)=11+3t where p(t) is the height, in feet, of the balloon from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the two functions. What is the solution for s(t) = p(t)? How do you know? Include the table in your answer.
Part B: Explain what the solution from Part A means in context of the problem.
Answer:
t = 2,3
Step-by-step explanation:
s (t) = t^2 + 2 t + 5
p (t) = 11 + 3 t
A:
s (1) = 8
s (2) = 13
s (3) = 20
s (4) = 29
Now
[tex]t^2 + 2 t + 5 = 11 t + 3t \\\\t^2 - t - 6 = 0\\\\t^2 - 3 t - 2 t - 6 = 0 \\\\(t-2)(t-3)=0\\\\t = 2, 3[/tex]
(b) The values are same at t =2 an t =3.
Represent pictorially:
3x2/6 = 6/6 or = 1
Answer:
yes is correct 6/6 = 1 / 3*2=6 =1
Answer:
nonsense. what's the difference between 6/6 or 1 .
2
Solve the equation log, (3t+9) - log, 21 =1
Answer:
67
Step-by-step explanation:
log(3t+9)-log21 = 1
Applying, the law of logarithm,
log(3t+9)/21 = 1
converting the log into index
(3t+9)/21 = 10
solving for t
3t+9 = 21×10
3t+9 = 210
3t = 210-9
3t = 201
t = 201/3
t = 67
PLEASE HELP DESPERATE
tan=sin/cos so tan=3/5/4/5=3/4
Answer:
SOH CAH TOA
3/5 opposite over hypotenuse
4/5 adjasent over hypotenuse
tan= opposite over adjasent which is 3/4
Step-by-step explanation:
Which of the following shows 5x + 17 + 8x – 9 + 2y in simplest terms?
Answer:
5x+8x+17-9+2y
13x+8+2y
Answer:
13x+8+2y
Step-by-step explanation:
5x+8x=13x
17–9=8
2y=2y
Does anyone know the answer?
Answer:
A
Step-by-step explanation:
A and B are the only answer choices that give you imaginary number outputs
But because the function in the answer choices is a negation of the original function they give different outputs, thus a different range
Therefore A is the correct answer
BRAINLIEST PLEASEEEEEEEE
Answer:
it is the first answer... has the same domain as the function
Step-by-step explanation:
simplify 18÷3x2+1 please
Answer:
the answer is gonna be
6x^2+1
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{Just do PEMDAS}\\\\\\\huge\textsf{Parentheses}\\\\\huge\textsf{Exponents}\\\\\huge\textsf{Multiplication}\\\\\huge\textsf{Division}\\\\\huge\textsf{Addition}\\\\\huge\textsf{Subtraction}[/tex]
[tex]\large\textsf{18 }\div\large\textsf{ 3 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{18 }\div\large\textsf{ 3 = \bf 6}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 = \bf 12}\\\\\\\large\textsf{12 + 1}\\\\\\\large\textsf{= \bf 13}\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Or you could if your equation is: }\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}[/tex]
[tex]\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ = \bf 6x}\mathsf{\bf ^2}\\\\\large\textsf{= \bf 6x}\mathsf{\bf ^2 \ + }\large\textsf{ \bf 1}\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6x}\mathsf{\bf ^2}\large\textsf{ \bf + 1}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which property of addition is shown in the equation below?
a+bi+0+0i = a + bi
commutative property
inverse property
identity property
associative property
Answer:
Step-by-step explanation:
is option a correct
The correct property of addition is shown in the equation is,
⇒ Identity property.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The equation is,
⇒ a + bi + 0 + 0i
Now, We know that;
Condition of identity property is,
⇒ a + 0 = a
Thus, The correct property of addition is shown in the equation is,
⇒ Identity property.
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a pair of integers whose sum is -12
There can be infinitely many pair of integers that have the sum -12.
Example:
1. (-24), (12)
2. (-10), (-2)
3. (-12), (0)
Answer:
Multiple pairs.
Step-by-step explanation:
There are a lot of solutions to this problem. For example:
(-24)+12
(-36)+24
(-48)+36
and so forth.
Talia wants to find the amount of sugar that will fit in a box that is 4 inches long, 2 inches wide, and 6 inches high. What measurement does she need to calculate?
A)the perimeter of the box
B)the volume of the box
C)the width of the box
D)the area of the box
Answer:
C) the volume of the box
:)
Helppp and explain pls and thankyou
Answer:
None of both
Step-by-step explanation:
It say y = lxl
so it mean if y = 3 so x = 3 or -3
What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x7 O x= -13 5. O x= O x=1 13 2 O x = 3
Answer:
Step-by-step explanation:
what is it that you don't understand about how to get this?
2(4-3x) + 5(2x-3) = 20-5x
please help me with this
Answer:
(0,-3)
Step-by-step explanation:
Solve an equation to find the missing angle
11.
[tex]6x = 30 \\ x = \frac{30}{6} \\ x = 5[/tex]
Missing angle:
[tex]6x \\ = 6 \times 5 \\ = 30[/tex]
_________________________________________
12.
[tex](4 + 5x) + (x + 2) = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\ x = \frac{174}{6} \\ x = 29[/tex]
Missing angle 1:
[tex](4 + 5x) \\ = 4 + (5 \times 29) \\ = 4 + 145 \\ = 149[/tex]
Missing angle 2:
[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]
_________________________________________
13.
[tex]5x + (3x + 12) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{168}{8} \\ x = 21[/tex]
Missing angle 1:
[tex]5x \\ = 5 \times 21 \\ = 105[/tex]
Missing angle 2:
[tex](3x + 12) \\ = (3 \times 21) + 12 \\ = 63 + 12 \\ = 75[/tex]
_________________________________________
14.
[tex]32 + (6x + 4) = 90 \\ 36 + 6x = 90 \\ 6x = 90 - 36 \\ 6x = 54 \\ x = \frac{54}{6} \\ x = 9[/tex]
Missing angle:
[tex](6x + 4) \\ = (6 \times 9) + 4 \\ = 54 + 4 \\ = 58[/tex]
_________________________________________
15.
[tex](2x + 1) + (x + 2) = 90 \\ 3x + 3 = 90 \\ 3x = 90 - 3 \\ 3x = 87 \\ x = \frac{87}{3} \\ x = 29[/tex]
Missing angle 1:
[tex](2x + 1 ) \\ = ( 2 \times 29) + 1 \\ = 58 + 1 \\ = 59[/tex]
Missing angle 2:
[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]
_________________________________________
16.
[tex](3x + 1) + (4 + 2x) = 90 \\ 5x + 5 = 90 \\ 5x = 90 - 5 \\ 5x = 85 \\ x = \frac{85}{5} \\ x = 17[/tex]
Missing angle 1:
[tex](3x + 1) \\ = (3 \times 17) + 1 \\ = 51 + 1 \\ = 52[/tex]
Missing angle 2:
[tex](4 + 2x) \\ = 4 + (2 \times 17) \\ = 4 + 34 \\ = 38[/tex]
someone help me with my algebra homework please
Answer:
15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
5a - 10b = 45
b = 3
Step 2: Solve for a
Substitute in b [Equation]: 5a - 10(3) = 45Multiply: 5a - 30 = 45[Addition Property of Equality] Add 30 on both sides: 5a = 75[Division Property of Equality] Divide 5 on both sides: a = 15Answer:
a=3
Step-by-step explanation:
5a-10b=45
when b=3
5a-10×3=45
5a-30=45
collect like terms
5a=45-30
5a=15
a=3
